Question

The formula for the surface area of a cylinder is A-2πr2+2mrh. Mr. Sanders asks his students to rewrite the formula solved for h. The table shows the responses of six students.

Response
Which student(s) solve(s) for h correctly? Select ALL that apply.
Alondra
Kaleb
Manuel
Renee
Sawyer
Talia
Student
Alondra
Kaleb
Manuel
Renee
Sawyer
Talia

Answer 1

2 Answers: Renee and Talia

Step-by-step explanation:

Here is one valid pathway to solve for h. There may be other pathways.

`A = 2\pi r^2 + 2\pi r h\\\\A-2\pi r^2 = 2\pi r h\\\\2\pi r h = A-2\pi r^2\\\\h(2\pi r) = A-2\pi r^2\\\\h = (A-2\pi r^2)/(2\pi r) \ \text{ ... showing Renee is correct}\\\\`

We can keep going with further steps as shown below

`h = (A-2\pi r^2)/(2\pi r)\\\\h = (A)/(2\pi r)-(2\pi r^2)/(2\pi r)\\\\h = (A)/(2\pi r)-(\pi r^2)/(\pi r)\\\\h = (A)/(2\pi r)-(r^2)/(r)\\\\h = (A)/(2\pi r)-r \ \text{ ... showing Talia is also correct}\\\\`

Only Renee and Talia are correct. The other students are incorrect.